Change the percent to a decimal. 0.4% = __
The Correct Answer and Explanation is:
To convert a percentage to a decimal, you divide the percentage value by 100. In the case of 0.4%, the conversion process is straightforward:
- Understanding the Percentage: A percentage represents a fraction of 100. So, 0.4% means 0.4 parts out of 100 parts.
- Performing the Conversion:
- To convert 0.4% to a decimal, you use the formula:
[
\text{Decimal} = \frac{\text{Percentage}}{100}
] - Substituting in the given percentage:
[
\text{Decimal} = \frac{0.4}{100} = 0.004
]
- Understanding the Result: The decimal form of 0.4% is 0.004. This value indicates that 0.4% is a very small amount when expressed as a decimal.
- Practical Implications: Converting percentages to decimals is essential in various fields, including finance, science, and statistics. For example, if you’re calculating interest rates, discounts, or probabilities, working with decimals often simplifies calculations.
- Real-World Examples:
- Finance: If you have a savings account offering an interest rate of 0.4%, you would express this as a decimal (0.004) to compute interest earned. For example, if you had $1,000 in the account, the interest earned in a year would be calculated as:
[
\text{Interest} = \text{Principal} \times \text{Rate} = 1000 \times 0.004 = 4
] - Statistics: In statistical analyses, when calculating probabilities or proportions, using decimal values allows for easier manipulation and interpretation of data.
In summary, converting percentages to decimals is a fundamental mathematical operation that enhances clarity and efficiency in various calculations. For 0.4%, the decimal equivalent is 0.004.